Let `z` be a complex number satisfying the equation `z^2-(3+i)z+m+2i=0,w h e r em in Rdot` Suppose the equation has a real root. Then find non-real root.

Explanation

To solve the problem step by step, we start with the given quadratic equation in complex numbers:

\[ z^2 - (3+i)z + (m + 2i) = 0 \]

### Step 1: Identify the roots
Let \( \alpha \) be a real root of the equation. Since \( \alpha \) is a root, it must satisfy the equation:
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